On the surjectivity of quadratic stochastic operators acting on the simplex

• Main Author: Saburov, Mansoor
• Format: Article
• Language: English; English; English
• Published: Pleiades Publishing 2016
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/51164/1/Surjective_QSO_---_MN_%28Eng%29.pdf; http://irep.iium.edu.my/51164/4/51164-On_the_surjectivity_of_quadratic_stochastic_operators_SCOPUS.pdf; http://irep.iium.edu.my/51164/5/51164-On_the_surjectivity_of_quadratic_stochastic_operators_WOS.pdf; http://irep.iium.edu.my/51164/; http://link.springer.com/article/10.1134/S0001434616030391
• Institution: Universiti Islam Antarabangsa Malaysia

It is well-known that a linear stochastic operator (a Markov operator) associated with a square stochastic matrix is a surjection of the simplex if and only if it is bijective. The similar problem was open for nonlinear stochastic operators (nonlinear Markov operators) associated with stochastic hy...